problem solving line graph

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Straight Line Graphs

How Steep Is the Slope?

On the grid provided, we can draw lines with different gradients. How many different gradients can you find? Can you arrange them in order of steepness?

At Right Angles

Can you decide whether two lines are perpendicular or not? Can you do this without drawing them?

Parallel Lines

How does the position of the line affect the equation of the line? What can you say about the equations of parallel lines?

Perpendicular Lines

Position the lines so that they are perpendicular to each other. What can you say about the equations of perpendicular lines?

Diamond Collector

Collect as many diamonds as you can by drawing three straight lines.

Reflecting Lines

Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.

Translating Lines

Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.

Line Graphs Practice Questions

Click here for questions, click here for answers, gcse revision cards.

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Line Graphs

Line Graph : a graph that shows information connected in some way (usually as it changes over time).

You record the temperature outside your house and get these results:

You are interested to see how it rises and falls, so decide to make a line graph:

It makes the data come alive, right? You can see how much it cooled down after lunch.

Making Line Graphs

You can create graphs like that using the Data Graphs (Bar, Line and Pie) page.

Or you can draw it yourself!

Example: Ice Cream Sales

Let's make the vertical scale go from $0 to $800, with tick marks every $200

Important! Make sure to have:

• Vertical scale with tick marks and labels
• Horizontal scale with tick marks and labels
• Data points connected by lines

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Line Graph Worksheets

Line graph worksheets have ample practice skills to analyze, interpret and compare the data from the graphs. Exercises to draw line graphs and double line graphs with a suitable scale; labeling the axes; giving a title for the graph and more are included in these printable worksheets for students of grade 2 through grade 6. Try some of these worksheets for free!

Interpreting Line Graph: Easy

Line graph worksheet pdfs have three interesting scenarios with graphs for 2nd grade and 3rd grade kids. Read the line graph and answer the word problems in each worksheet.

• Download the set

Interpreting Line Graph: Moderate

Line graphs on different themes are shown in these printable worksheets. Interpret the data from the line graph and answer the questions.

Interpreting Line Graph: Difficult

Line graphs in these 4th grade and 5th grade worksheets represent more than ten data. Read and interpret the graph carefully to answer the questions.

Drawing Line Graph: Easy

In these pdf worksheets, data for which the graph to be represented are given. Read the data, plot points and draw lines to complete the graph.

Drawing Line Graph: Moderate

The number usage (given data) gradually increases in this level. Plot points on the graph to represent the data and join them to make a line graph.

Drawing Line Graph: Difficult

Numerous data are used in these worksheets. Attentively read the data and represent it on the grid to draw the line graph.

Title, Scale, Labeling Axis, and Graphing

Draw a line graph for the represented data. Make an appropriate scale, label the x axis, y axis and write your own title for the graph.

Reading Double Line Graph

In these worksheets two sets of data are compared. Both the data are represented as a double line graph. Read them and answer the questions.

Drawing Double Line Graph

Two sets of data are given. 6th grade students need to analyze the data, make a suitable scale and draw double line graph. Label the axes and give a suitable title for the graph.

Related Worksheets

» Tally Marks

» Bar Graph

» Pie Graph

» Pictograph

» Graphs

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Line Graph Worksheets

Related Pages Math Worksheets Lessons for Fifth Grade Free Printable Worksheets

Printable “Statistics” Worksheets: Bar Graphs (2nd Grade) Line Plots (2nd Grade) Scaled Bar Graphs (3rd Grade) Line Graphs (5th Grade)

In these free math worksheets, you can practice how to plot data on line graphs and analyze trends. You can either print the worksheets (pdf) or practice online.

How to plot data on line graphs and analyze trends? A line graph is a type of chart used to represent data points connected by straight line segments. It is particularly useful for showing trends or changes over time.

Plotting Data on Line Graphs:

• Gather the data you want to visualize on the line graph. Ensure that your data points are ordered, such as by time or another independent variable.
• Decide which variable will be plotted on the x-axis (horizontal) and which will be plotted on the y-axis (vertical). Typically, the x-axis represents time or another independent variable, while the y-axis represents the dependent variable.
• Determine the range and intervals for each axis based on your data. Choose appropriate scales that allow the data to fit comfortably within the graph space.
• Plot each data point on the graph by locating its coordinates (x, y) on the axes. Mark the point with a small dot or symbol.
• Draw straight line segments to connect consecutive data points. This creates a line that visually represents the trend or pattern in the data.
• Label each axis with a descriptive title that indicates what is being measured and the unit of measurement (if applicable).
• Give your graph a title that summarizes the data being represented. This helps viewers quickly understand the purpose of the graph.

Analyzing Trends:

• Examine the line graph to identify any noticeable trends or patterns in the data. Look for upward or downward trends, fluctuations, or periods of stability.
• Interpret the trends in the context of your data and the variables being measured. Consider factors that may influence the observed patterns.
• Analyze the data to draw conclusions or make predictions based on the observed trends. Determine whether the trend is linear, exponential, cyclical, or irregular.
• Compare multiple datasets plotted on the same graph or different graphs to identify similarities or differences in trends. Look for correlations or relationships between variables.
• Use the observed trends to make forecasts or projections about future outcomes. Consider the reliability of the data and any external factors that may impact future trends.

Click on the following worksheet to get a printable pdf document. Scroll down the page for more Line Graph Worksheets .

More Line Graph Worksheets

Printable (The answers are on the second page) Line Graph Worksheet #1 Line Graph Worksheet #2 Line Graph Worksheet #3 Line Graph Worksheet #4

Related Lessons & Worksheets

Line Graph Lesson

More Printable Worksheets

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• Math Article

A line graph is a unique graph which is commonly used in statistics. It represents the change in a quantity with respect to another quantity. For example, the price of different flavours of chocolates varies, which we can represent with the help of this graph. This variation is usually plotted in a two-dimensional XY plane. If the relation including any two measures can be expressed utilizing a straight line in a graph, then such graphs are called linear graphs. Thus, th e line graph is also called a linear graph . Here, we are going to discuss what a line graph is, its  types, procedure to draw a line graph, and examples in detail.

Table of Contents:

• Vertical line graph
• Horizontal line graph
• Straight line graph
• Parts of line graph
• How to plot
• Double line graph

Line Graph Definition

A line graph or line chart or line plot i s  a graph that utilizes points and lines to represent change over time. It is a chart that shows a line joining several points or a line that shows the relation between the points. The graph represents quantitative data between two changing variables with a line or curve that joins a series of successive data points. Linear graphs compare these two variables in a vertical axis and a horizontal axis.

Types of Line Graphs

The following are the types of the line graph. They are:

• Simple Line Graph: Only one line is plotted on the graph.
• Multiple Line Graph: More than one line is plotted on the same set of axes. A multiple line graph can effectively compare similar items over the same period of time.
• Compound Line Graph: If information can be subdivided into two or more types of data. This type of line graph is called a compound line graph. Lines are drawn to show the component part of a total. The top line shows the total and line below shows part of the total. The distance between every two lines shows the size of each part.

Vertical Line Graph

Vertical line graphs are graphs in which a vertical line extends from each data point down to the horizontal axis. Vertical line graph sometimes also called a column graph. A line parallel to the y-axis is called a vertical line.

Horizontal Line Graph

Horizontal line graphs are graphs in which a horizontal line extends from each data point parallel to the earth. Horizontal line graph sometimes also called a row graph. A line parallel to the x-axis is called a vertical line

Straight Line Graph

A line graph is a graph formed by segments of straight lines that join the plotted points that represent given data. The line graph is used to solve changin g conditions, often over a certain time interval. A general linear function has the form y = mx + c, where m and c are constants.

The fundamental rule at the rear of sketching a linear graph is that we require only two points to graph a straight line. The subsequent procedure is followed in drawing linear graphs:

• By substituting two dissimilar values for x in the equation y = mx + c, we get two values for y. Thus, we get two points (x 1 , y 1 ) and (x 2 , y 2 ) on the line.
• Plot the horizontal line and vertical line and select the suitable scale for both the axes .
• If the given table values are large choose the scale for that particular value. It depends on the given value.
• Plot the two points in the Cartesian plane of the paper. Join the two points using a line segment and extend to two directions. Th e closed figure obtained is the re quired linear graph.

Different Parts of Line Graph

Title: The title explains what graph is to be plotted.

Scale: The scale is the numbers that explain the units utilized on the linear graph.

Labels: Both the side and the bottom of the linear graph have a label that indicates what kind of data is represented in the graph. X-axis describes the data points on the line and the y-axis shows the numeric value for each point on the line.

Bars: They measure the data number.

Data values: they are the actual numbers for each data point.

How to Make a Line Graph?

If we have created data tables, then we draw linear graphs using the data tables. These graphs are plotted as a series of points, which are later joined with straight lines to provide a simple way to review data collected over time. It offers an excellent visual format of the outcome data collected over time.

To plot a linear/line graph follow the below steps:

• Use the data from the data-table to choose a suitable scale.
• Draw and label the scale on the vertical (y-axis) and horizontal (x-axis) axes.
• List each item and place the points on the graph.
• Join the points with line segments.

Double Line Graph

A double line graph is a line graph with two lines. A graph that compares two different subjects over a period of time. A double line graph shows how things change over a period of time. The double line graph shows two line graphs within one chart. Double line graphs are used to compare trends and patterns between two subjects.

Steps to Make a Double Line Graph:

• Use the data from the table to choose an appropriate scale.
• Draw and label the scale on the vertical and horizontal axis.
• List each item and locate the points on the graph for both the lines.
• Connect the points with line segments separately of both the lines.
• Draw two line graphs within one chart.

Example: See the graph below.

The points on the double line graph show the average monthly rainfall in the two cities (city 1, city 2). The separate lines that are made by connecting the points for each city.

Uses of Line Graph

The important use of line graph is to track the changes over the short and long period of time. It is also used to compare the changes over the same period of time for different groups. It is always better to use the line than the bar graph , whe never the small changes exist.  For example, in a company finance team wants to plot the changes in the cash amount that the company has on hand over time. In that case, they use the line graph plotting the points over the horizontal and the vertical axis. It usually represents the time period of the data.

Line Graph Example

Question: Sketch the solution on number line |x + 2| ≤ 5.

Given, inequality |x + 2| ≤ 5

Step 1: Change the inequality into a compound inequality

– 5 ≤ x + 2 ≤ 5

Step 2: Subtract 2 from all three sides to get

– 5 – 2 ≤ x + 2 – 2 ≤ 5 – 2

= – 7 ≤ x ≤ 3

Step 3: Place this value on a number line

Frequently Asked Questions – FAQs

What is a line graph used for, how do you make a line graph, how does a line graph work, what are the five parts of a line graph, what must a line graph have.

Put your understanding of this concept to test by answering a few MCQs. Click ‘Start Quiz’ to begin!

Select the correct answer and click on the “Finish” button Check your score and answers at the end of the quiz

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Line Graphs Worksheet 4th Grade

Welcome to our Line Graphs Worksheet 4th Grade. Here you will find our range of line graph sheets for 4th graders which will help your child to interpret, analyse, read and plot line graphs.

The line graph sheets on this page are at an intermediate level - for more simple graphs please see below.

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• Introduction
• 4th Grade Line Graph Worksheets - Reading & Interpreting
• Line Graphs 3rd Grade Worksheets - Plotting & Interpreting
• Easier/Harder Line Graph Worksheets
• More related resources

Line Graphs 4th Grade Online Quiz

Line graph worksheets 4th grade.

Fourth graders will be familiar with bar graphs and picture graphs already, and should now be ready to be introduced to simple line graphs.

The vertical scale in most of the sheets on this page goes up in 2s, so the graphs should be fairly straightforward to read.

On this page there are a wide variety of line graphs on a variety of different topics.

Most of the line graphs start at zero on the vertical axis, but some of the graphs start at higher numbers.

There are lots of opportunities on each of the worksheets to interpret the graphs and answer simple questions about the data.

On some of the later sheets, there are opportunities for plotting and drawing part of the graph.

Using these 4th grade line graphs will help your child to:

• read and answer questions about line graphs;
• read and interpret line graphs with a scale going up in 2s;
• plotting and drawing missing parts of a line graph;
• answer questions involving data.

The worksheets have been split up into 2 different sections below.

The first section contains line graph worksheets that focus on interpreting.

The second section involves plotting and drawing parts of the line graph as well as interpreting.

4th Grade Line Graph Worksheets - Reading and Interpreting

• Line Graph Worksheet 4A Temperature
• PDF version
• Line Graph Worksheet 4B Cycle Trip
• Line Graph Worksheet 4C Auto Sales
• Line Graph Worksheet 4D Penguin Survey

4th Grade Line Graph Worksheets - Plotting and Interpreting

• Line Graph Worksheet 4E Sunflowers
• Line Graph Worksheet 4F Rainfall
• Line Graph Worksheet 4G Bird Problems

Looking for something harder?

The line graph worksheets in this section are at a 4th grade level and are more complex than those on this page.

The scales are more complex, and involve more complicated questions and data analysis.

• Line Graphs 5th Grade Worksheets

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

More Data Analysis Sheets at a 4th Grade level

We have a wide selection of bar graph, venn diagram and other statistics worksheets.

• Line Plots 4th Grade
• Bar Graph Worksheets 4th grade
• Venn Diagram Worksheet 4th Grade

Fourth Grade Math Word Problems

Here is our set of 4th grade math problems to help your child with their problem solving skills.

Each problem sheet comes complete with answers, and is available in both standard and metric units where applicable.

Using these sheets will help your child to:

• apply their addition, subtraction and problem solving skills;
• apply their knowledge of rounding and place value;
• solve a range of 'real life' problems;
• attempt more challenging longer problems.

Using the problems in this section will help your child develop their problem solving and reasoning skills.

• 4th Grade Math Word Problems
• 4th Grade Measurement Worksheets

Here is our selection of measurement worksheets for 4th graders.

These sheets involve reading scales in both the standard and metric systems.

The scales include finding the length, weight or liquid capacity.

Using these sheets will help your child understand how to:

• read scales in both the standard and metric systems;
• read a scale going up in a range of fractions: halves, quarters and eighths;
• read a scale going up in tenths, fives, tens, fifties, and hundreds.

Using these sheets will help children to consolidate their fractions and place value learning.

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This quick quiz tests your reading and interpreting line graphs at a 4th Grade level.

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